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math.RT2020
Stiefel Whitney Classes for Real representations of
Jyotirmoy Ganguly, Rohit Joshi
We compute the total Stiefel Whitney class for a real representation of , where is odd. The obstruction class of is defined to be the Stief…
math.RT2020★ 4 cited
Spinoriality of Orthogonal Representations of GL(n,q)
Rohit Joshi, Steven Spallone
We determine which orthogonal representations V of GL(n,q) lift to the double cover Pin(V ) of the orthogonal group O(V ). We cover all n and prime powers q, except for (n; q) =(3,…
math.RT2020
Spinorial Representations of Orthogonal Groups
Jyotirmoy Ganguly, Rohit Joshi
Let be a real compact Lie group, such that , with simple. Here is the connected component of containing the identity and is the cyclic g…